most recent 30 from http://mathoverflow.net 2013-05-22T22:42:06Z http://mathoverflow.net/feeds/question/35710 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/35710/can-any-triangle-be-inscribed-in-any-convex-figure Dan Brumleve 2010-08-16T02:21:37Z 2010-08-16T05:15:07Z

<p>Can any triangle be inscribed in any convex figure? i.e. given a convex figure and a triangle can we transpose and scale and rotate that triangle so that its vertices are on the boundary of the convex figure?</p>

http://mathoverflow.net/questions/35710/can-any-triangle-be-inscribed-in-any-convex-figure/35715#35715 Victor Protsak 2010-08-16T03:32:48Z 2010-08-16T03:32:48Z

<p>A more general result is known: if $C$ is any Jordan curve and $T$ is a triangle then there exists a triangle similar to $T$ inscribed in $C.$ Moreover, the vertices of such triangles are dense in $C.$ See the references in the Wikipedia article on the <a href="http://en.wikipedia.org/wiki/Inscribed_square_problem#Variants_and_generalizations" rel="nofollow">Inscribed Square Problem</a>.</p>